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Finding the Fourth Proportional to 100,070.66, 150,116.47 and 32,607.94

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Solution

The fourth proportional to 100,070.66, 150,116.47 and 32,607.94 is: 48,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,070.66 : 150,116.47 = 32,607.94 : x
  2. Step 2: Convert to fraction form
    100,070.66/150,116.47 = 32,607.94/x
  3. Step 3: Cross multiply
    100,070.66x = 150,116.47 × 32,607.94
  4. Step 4: Simplify right side
    100,070.66x = 4,894,988,846.77
  5. Step 5: Solve for x
    x = 4,894,988,846.77/100,070.66
  6. Step 6: Final answer
    x = 48,915.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.